While stationary on Earth you have a weight of 550 N. When in an elevator that accelerates

The upward acceleration of the elevator is 10.51 m/s²

Explanation:

Given;

weight on Earth while stationary, W = 550 N

apparent weight when the elevator accelerates upwards, W'₁ = 590 N.

apparent weight when the elevator descends, W''₂ = 510 N

When moving upwards;

T = ma + mg

where T is the total reading on the scale of the elevator

T = ma + W  

W'₁ = ma + W

590 = ma + 550

ma = 590 - 550

ma = 40equation (i)

where;

m is your mass

a is your acceleration

When descending;

T = mg - ma

T = W - ma

W''₂ = W - ma

510 = 550 - ma  

ma = 550 - 510

ma = 40 equation (ii)

Now, ma is the same in both equations, we calculate m first,

From Newtons second law of motion;

F = W = mg

when you are stationary on Earth, g = 9.8 m/s²

550 = 9.8 x m

m = 550/9.8

m = 56.123 kg

Finally, substitute m in any of the equations;

56.123 x a = 40

a = 40/56.123

a = 0.71 m/s²

When moving upwards;

the acceleration of the elevator becomes = (a + g)

                                                                      = (0.71 + 9.8)

                                                                      = 10.51 m/s²

answer:

69

explanation:

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